When questioned further about the permanent England role and his potential running for the job, Carsley said: "No, I didn't formally apply for it.
"Because I've been with the U21s. I'm really happy doing my job but I'm an employee of the FA and I was asked to take the senior team which is a privilege, it was the proudest moment of my career so far.
"Really honoured with the chance to manage the senior team, I'm in a really fortunate position, I'm on the inside and I can see how much potential this team's got.
"I've said all along, it's one of the best jobs in world football, there's not many jobs where you've got a chance of winning, I believe the coach that comes in has got a really good chance of winning and we deserve the best one that's out there."